7+2[-14-5{7+6×4-3}]
Answers
Answer:
answer for the given problem is given
Answer:
Step-by-step explanation:
Question 1:
Simplify:
21 − 12 ÷ 3 × 2
ANSWER:
Given expression:
= 21 - 12 ÷ 3 ⨯ 2
= 21 - 4 ⨯ 2 [Performing division]
= 21 - 8 [Performing multiplication]
= 13 [Performing subtraction]
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Question 2:
Simplify:
16 + 8 ÷ 4 − 2 × 3
ANSWER:
Given expression:
= 16 + 8 ÷ 4 - 2 ⨯ 3
= 16 + 2 - 2 ⨯ 3 [Performing division]
= 16 + 2 - 6 [Performing multiplication]
= 18 - 6 [Performing addition]
= 12 [Performing subtraction]
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Question 3:
Simplify:
13 − (12 − 6 ÷ 3)
ANSWER:
Given expression:
= 13 - (12 - 6 ÷ 3 )
= 13 - (12 - 2) [Performing division]
= 13 - 10 = 3 [Performing subtraction]
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Question 4:
Simplify:
19 − [4 + {16 − (12 − 2)}]
ANSWER:
Given expression:
= 19 - [4 + {16 - (12 - 2)}]
= 19 - [4 + {16 - 10}] [Removing parentheses]
= 19 - [4 + 6] [Removing braces]
= 19 - 10 [Removing square brackets]
= 9
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Question 5:
Simplify:
36 − [18 − {14 − (15 − 4 ÷2 ×2)}]
ANSWER:
Given expression:
= 36 - [18 - {14 - (15 - 4 ÷ 2 × 2)}]
= 36 - [18 - {14 - (15 - 2 × 2)}] [Performing division]
= 36 - [18 - {14 - (15 - 4)}] [Performing multiplication]
= 36 - [18 - {14 - 11}] [Removing parentheses]
= 36 - [18 - 3] [Removing braces]
= 36 - 15 [Removing square brackets]
= 21
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Question 6:
Simplify:
27 − [18 − {16 − (5 − 4 − 1¯¯¯¯¯¯¯¯¯)}]
ANSWER:
Given expression:
= 27 - [18 - {16 - (5 - 4−1)}]
= 27 - [18 - {16 - (5 - 3)}] [Removing bar]
= 27 - [18 - {16 - 2}] [Removing parentheses]
= 27 - [18 - 14] [Removing braces]
= 27 - 4 [Removing square brackets]
= 23
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Question 7:
Simplify:
445÷35 of 5+45×310−15
ANSWER:
Given expression:
= 445 ÷35 of 5 + 45×310 − 15= 445 ÷35 × 51 + 45×310 − 15 (Removing 'of ')= 245 ÷31 + 45×310 − 15 =245×13 + 45×310 − 15 (Removing '÷')= 85 + 45×310 − 15 (Removing '×')=85 +625 − 15 (Removing '×')= 40 + 6 − 525 = 41 25 = 11625
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Question 8:
Simplify:
(23+49) of 35 ÷ 123×114−13
ANSWER:
Given expression:
= (23 + 49) of 35 ÷123× 114 − 13 = (6 +49) of 35 ÷123× 114 − 13 (Removing parentheses)= 109×35÷123× 114 − 13 (Removing 'of')= 23÷53× 114 − 13 =23×35 ×54 − 13 (Removing '÷' )= 25×54 − 13 = 12 − 13 (Removing '×' )= (3−2)6 = 16
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Question 9:
Simplify:
713÷23 of 215+138÷234−112
ANSWER:
The given expression
= 713÷23 of 215 + 138 ÷234 − 112 = 223 ÷23 of 115 + 118 ÷ 114 − 32 = 223 ÷23 ×115 + 118 ÷ 114 − 32 (Removing 'of') =223 ÷2215 + 118 ÷ 114 − 32 = 223×1522 +118 ÷ 114 − 32 (Removing '÷') = 5 + 118 × 411 − 32 (Removing '÷')= 5 + 12 − 32 ( On simplifying)= 10 +1 −32 = 82 = 4
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Question 10:
Simplify:
517−{3310÷(245−710)}
ANSWER:
Given expression:
= 517 − {3310÷(245 − 710)}= 367 − {3310÷(145 − 710)}= 367 − {3310÷(28−710)} = 367 − {3310÷2110} (Removing parentheses)= 367 − {3310×1021} (Removing '÷')= 367 − 117 (Removing braces)= 36 − 117 = 257 = 347 (Simplifying)
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Question 11:
Simplify:
934÷[216+{413−(112+134)}]
ANSWER:
Given expression:
= 934 ÷ [216 + {413 − (112 + 134)}] = 394 ÷ [136 + {133 − (32 + 74)}] = 394 ÷ [136 + {133 − (6+74)}] = 394 ÷ [136 + {133 − 134}] (Removing parentheses)= 394 ÷ [136 + {52 −3912}] = 394 ÷ [136 + 1312] (Removing braces)= 394 ÷ [26 +1312] = 394 ÷3912 (Removing square brackets)= 394 × 1239 = 3 (Removing '÷')
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Question 12:
Simplify:
4110−[212−{56−(25+310−415)}]
ANSWER:
Given expression:
= 4110− [212 − {56 − (25 + 310−415)}] = 4110 − [52 − {56 − (25 + 310−415)}] = 4110 − [52 − {56 − (12 +9 − 8 30)}] = 4110 − [52 − {56 − 1330}] (Removing parentheses) = 4110 − [52 − {25 −1330}] = 4110 − [52 − 1230] (Removing braces)= 4110 − [75 −1230] = 4110 −6330 (Removing square brackets)= 123 − 6330 = 6030 = 2
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Question 13:
Simplify:
156+[223−{334 (345÷912)}]
ANSWER:
Given expression:
= 156+ [223 − {334 (345÷ 912)}] = 116 + [83 − {154 (195 ÷ 192)}] = 116 + [83 − {154 (195 × 219)}] = 116 + [83 − {154 × 25}] (Removing parentheses)= 116 + [83 − 32] (Removing braces) = 116 + [16 − 96] = 116 + 76 (Removing square brackets)= 186 = 3
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Question 14: